Sur une g\'en\'eralisation de l'op\'erateur fractionnaire
Classical Physics
2011-11-09 v1
Abstract
The goal of this communication is to propose a generalized notion of the "traditional derivative". This generalization includes the fractional derivatives such as the Riemann-Liouville, Gruenwald-Letnikov, Weyl, Riesz, Caputo, Marchaud derivatives and other variants as special cases. The approach is useful to describe mechanical problems in material systems with microstructures without characteristic scale such as self-similar and fractal materials.
Keywords
Cite
@article{arxiv.1111.1898,
title = {Sur une g\'en\'eralisation de l'op\'erateur fractionnaire},
author = {Thomas Michelitsch and Gérard Maugin and Shahram Derogar and Andrzeij Nowakowski and Nicolleau Franck},
journal= {arXiv preprint arXiv:1111.1898},
year = {2011}
}